Elliptic curve data - 6762.bl1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6762bh', 'Clabel': '6762bh5', 'Cnumber': 5, 'abc_quality': 1.0156853826442096, 'absD': 75013947292296348, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2576, 'ainvs': [1, 0, 0, -3877567, 2938562717], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6762, 'degree': 196608, 'elladic_images': ['16.48.0.38'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3889296275674943639776679538', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [54804145548726848737, 637608031452], 'lmfdb_iso': '6762.bl', 'lmfdb_label': '6762.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -79134, -8601153], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.12', '16.48.0-16.e.2.10', '28.24.0-28.h.1.2', '56.48.0-56.bj.1.5', '112.96.0.?', '184.48.0.?', '368.96.0.?', '1288.96.0.?', '2576.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 4, 2254], [7, 32, 138], [23, 24, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4159745530398377114249915821', 'prec': 100}, 'szpiro_ratio': 6.477523435725776, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, -4, 1, 2, 0, 2, 1, 6, 1, -4, 2], 'aplist': [1, 1, 2, 0, -4, 2, 6, -4, -1, -2, 8, 6, 6, -4, 8, 6, -4, 10, 4, -8, 6, 0, 12, -2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 6762, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '6762.bl', 'trace_hash': 1460446260672850982}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0084139919114474724494077129114', 'prec': 110}, 'conductor': 6762, 'gens': [], 'heights': [], 'lmfdb_label': '6762.bl1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.31282543123520616911768445300', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0052068997632987058829512480081717625', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[998, 7439, 1]], 'xcoord_integral_points': [998]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '7': 'a', '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '6762.bl1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 355467
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [2, 4]}
  • id: 355468
    {'degree': 4, 'field': [28, 0, 0, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [8]}
  • id: 355469
    {'degree': 4, 'field': [1521, 0, -106, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [2, 8]}
  • id: 355471
    {'degree': 8, 'field': [36, 0, 88, 0, -8, 0, 4, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [2, 8]}
  • id: 355473
    {'degree': 8, 'field': [72, -396, 378, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '6762.bl1', 'torsion': [12]}
  • id: 355470
    {'degree': 8, 'field': [63001, -20582, 3362, -584, 503, -80, 2, -2, 1], 'lmfdb_label': '6762.bl1', 'torsion': [4, 4]}
  • id: 355472
    {'degree': 8, 'field': [236992, 0, 0, 0, 896, 0, 0, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [16]}
  • id: 355476
    {'degree': 16, 'field': [-120439471, -253401304, 208933144, 664950608, 211019736, -198221544, -84620392, 22871200, 10763902, -1150920, -613976, 24656, 16888, -184, -216, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [2, 16]}
  • id: 355474
    {'degree': 16, 'field': [6561, 0, 0, 0, 796030, 0, 0, 0, 4371, 0, 0, 0, 414, 0, 0, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [4, 8]}
  • id: 355478
    {'degree': 16, 'field': [4343056, 0, -4527968, 0, 1255312, 0, 136993, 0, -45422, 0, -2711, 0, 25, 0, -14, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [2, 12]}
  • id: 355475
    {'degree': 16, 'field': [212838921, 0, 39186792, 0, -4253396, 0, -616168, 0, 87486, 0, 952, 0, -420, 0, 8, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [2, 16]}
  • id: 355477
    {'degree': 16, 'field': [44791229390625, 0, -5206592584800, 0, 253930770576, 0, -6542602864, 0, 91902818, 0, -890848, 0, 15568, 0, 16, 0, 1], 'lmfdb_label': '6762.bl1', 'torsion': [2, 16]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 137707
    {'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6762.bl1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 137708
    {'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '6762.bl1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 137709
    {'conductor': 6762, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '6762.bl1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 137710
    {'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6762.bl1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1708600
    {'adelic_gens': [[1, 16, 0, 1], [15, 2, 2478, 2563], [2262, 649, 325, 1290], [2365, 16, 192, 2261], [2561, 16, 2560, 17], [2192, 2571, 1885, 14], [5, 4, 2572, 2573], [1, 0, 16, 1], [13, 16, 388, 329]], 'adelic_image': '2576.192.1.?', 'conductor': 6762, 'lmfdb_label': '6762.bl1', 'prime': 0}
  • id: 33435
    {'conductor': 6762, 'elladic_image': '16.48.0.38', 'lmfdb_label': '6762.bl1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6762.bl does not appear in ec_padic